We're dividing 546919 by 88 
Let's see how many times 88 fits into 546919.

On to step 1:
When dividing 5 by 88, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (4) from the dividend, attach it to 5 and continue: 54 / 88

Advancing to step 2:
88 can be fit into 54 0 times, resulting in a remainder of 54.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 54 after subtracting 0 from 54.
Append the next digit (6) from the dividend to 54 and continue with: 546 / 88

Moving on to step 3:
The number 88 fits into 546 6 times, leaving a remainder of 18.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 528 from 546, we get 18.
Fetch the next digit (9) from the dividend, attach it to 18 and continue: 189 / 88

On to step 4:
189 divided by 88 is 2 with a remainder of 13.
The next digit of our result is 2. 
Result so far: 62.0
Subtracting 176 from 189 leaves us with 13.
Take the next digit (1) from the dividend and append it to 13, then repeat: 131 / 88

Advancing to step 5:
88 goes into 131 1 times with a remainder of 43.
The next digit of our result is 1. 
Result so far: 621.0
If we take 88 away from 131, we end up with 43.
Bring next digit (9) of the dividend behind the 43 and repeat the process: 439 / 88

Let's proceed to step 6:
When dividing 439 by 88, we get 4 with a remainder of 87.
Put 4 as the next digit of the answer. 
Result so far: 6214.0
Subtracting 352 from 439 leaves us with 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

On to step 7:
If we divide 870 by 88, we get 9 and a remainder of 78.
The number 9 becomes the next digit in our result. 
Result so far: 6214.9
The remainder is 78 after subtracting 792 from 870.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Going ahead to step 8:
The number 88 fits into 780 8 times, leaving a remainder of 76.
The next digit of our result is 8. 
Result so far: 6214.98
If we subtract 704 from 780, we get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Step 9:
When dividing 760 by 88, we get 8 with a remainder of 56.
Use 8 as the next digit of our solution. 
Result so far: 6214.988
Subtract 704 from 760 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

In conclusion, the division gives 6214.988 with a balance of 0.0056.